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Seminar of the Department of Theoretical Physics, Steklov Mathematical Institute of RAS
March 16, 2016 14:00, Moscow, Steklov Mathematical Institute of RAS, Room 404 (8 Gubkina)
 


An asymptotic solution of large-N QCD

M. Bochicchio

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Abstract: We find an asymptotic solution for two-, three- and multi-point correlators of local gauge-invariant operators, in a lower-spin sector of massless large-N QCD (and of $n=1$ SUSY YM), in terms of glueball and meson propagators, in such a way that the solution is asymptotic in the ultraviolet to renormalization-group improved perturbation theory, by means of a new purely field-theoretical technique that we call the asymptotically-free bootstrap, based on a recently-proved asymptotic structure theorem for two-point correlators. The asymptotically-free bootstrap provides as well asymptotic S-matrix amplitudes in terms of glueball and meson propagators. Remarkably, the asymptotic S-matrix depends only on the unknown particle spectrum, but not on the anomalous dimensions, as a consequence of the LSZ reduction formulae. In fact, the asymptotic solution sets the strongest constraints on any actual solution of large-N QCD (and of $n=1$ SUSY YM), and in particular on any string solution. On the basis of the asymptotic solution we conjecture an actual solution for the S-matrix of large-N QCD, constructed by means of a certain twistorial string theory.

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